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THE LABORATORY · Nº 1152 · EDITION 1 · LAUNCHING SOON

LUND CARDS · THE LABORATORYNº 1152 PROPOSED
THE SAMPLING CARD — the LSC-1 face
THE CARD AS TEXT · FOR EYES AND FOR MACHINES

THE SAMPLING CARD · sampling fast enough, and aliasing

WAKES WHEN someone asks about sampling rates, aliasing, or wheels turning backward on film

THE LOOP

  1. rate <bandwidth> · the least rate
  2. alias <tone> <rate> · folded or not
  3. wheel <turns> <spokes> <fps> · on film
  4. formats · common rates
  5. filter before sampling, never after

NEVER

  • Sample at exactly twice and call it safe
  • Claim an alias can be removed afterward
  • Forget a wheel's spokes

IT MAKES rate — the least rate and a practical one; alias — where a tone lands; wheel — the wheel on film; formats — common rates.

THE STANDARD more than twice; folding is final; spokes count; signed answers; familiar rates; plain units.

IN THE BOX SKILL.md · CARD.md · TIN.md · START-HERE.md · LICENSE-NOTE.md · THE-CLAUSES.md · MY-LEDGER.md · WITNESS.md · SELFTEST.md · AUDIT.md · MANIFEST.md · HOSTS.md · scripts/sampling.py · references/THE-LAWS.md · rules/ (4 doors) · system/ (2 prompts) · mcp/mcp_card.py · card.json · card.svg · card-machine.svg · card.html.

PROOF SELFTEST 8/8 · witnessed in Claude 2026-10-11 · Edition 1.

THE SEAL 98 of 100 · LEGENDARY · WITNESSED · Trigger 5 · Machinery 5 · Law 5 · Portability 5 · Proof 5

IT CAN BE WRONG an AI reading a text file: it can be wrong and can invent a number, a rule, a name or a date; check what matters against your own records and the source; the risk is yours. THE-CLAUSES.md rides in the packet and is part of the licence.

THE PUNCH · SHA-256 OF SKILL.MD · 97D0E431643EAB23ABC59496

THE FACE, FULL SIZE → · THE MACHINE FACE → · card.json →

THE SAMPLING CARD

sampling fast enough, and aliasing

RATE · ALIAS · WHEEL · FORMATS

98LEGENDARYWITNESSEDIN CLAUDEIN LUNDRIN CHATGPT

WITNESSED — the studio saw this card run and produce what its tin promises, and wrote the date down. What the marks mean →

THE SPEC SHEET · READ BEFORE YOU BUY · THE STANDARD EVERY CARD MEETS →

SEAL
98 of 100 · LEGENDARY · WITNESSED
EDITION
E1 · witnessed 2026-10-11
MACHINE
scripts/sampling.py · 4 commands · selftest 8/8
RUNS
On your own computer. Standard library only, offline; no account, no key, no telemetry.
HOSTS
Claude · Claude Code · ChatGPT · Gemini · any AI that reads a file (HOSTS.md names each door)
LICENCE
One person, any number of their own AIs and computers · editions replace files · nothing renews · freeze, not loss
PUNCH
97D0E431643EAB23ABC59496 · sha-256 of SKILL.md · check any file against it →

CITE THIS CARDTHE SAMPLING CARD, Edition 1. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=sampling-card. Punch 97D0E431643EAB23ABC59496. Retrieved 2026-10-11.

What it is.

Works out the sampling theorem: rate gives the least sampling rate for a bandwidth and a practical one with room for the filter; alias gives the frequency a tone appears at after sampling and whether it folded down; wheel gives how a spinning wheel seems to turn on film, forward, still or backward; formats lists common audio rates and the highest frequency each can carry.

It carries a machine that shows its working: rate — the least rate and a practical one; alias — where a tone lands; wheel — the wheel on film; formats — common rates — 8 checks in its selftest, every command on the record. It will never sample at exactly twice and call it safe; never claim an alias can be removed afterward; never forget a wheel's spokes. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.

Six laws, written into the card.

They are in the card itself, so the AI follows them.

MORE THAN TWICEThe rate must exceed twice the highest frequency; exactly twice can lose the signal.
FOLDING IS FINALOnce sampled, an alias cannot be told from a real tone; filtering has to come first.
SPOKES COUNTA wheel with identical spokes repeats every spoke, not every turn; the card counts them.
SIGNED ANSWERSA wheel seems to turn forward, stand still or turn backward, and the card says which.
FAMILIAR RATESTelephone, wideband voice, CD, film, high-resolution and studio rates, with what each carries.
PLAIN UNITSHz, kHz and MHz, said every time.

What rides in the card.

In the card’s own voice, with a machine that shows its working.

THE GUIDEreferences/THE-LAWS.md
THE MACHINEsampling.py · four commandsrate — the least rate and a practical one; alias — where a tone lands; wheel — the wheel on film; formats — common rates. Every command prints its working and refuses a bad input; 8 checks in its selftest, every command on the record.

What it does once your AI has it.

  • rate The least rate and a practical one
  • alias Where a tone lands
  • wheel The wheel on film
  • formats Common rates
  • On the record Sound to 20 kHz needs more than 40,000 samples a second; 25 kHz at CD rate poses as 19.1 kHz; a wheel at 23 turns a second on 24 fps film turns backward, at 24 it stands still; the common rates and what each carries.

What it will never do.

It will never sample at exactly twice and call it safe; never claim an alias can be removed afterward; never forget a wheel's spokes. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.

Ideal, evenly spaced samples of a steady signal: real converters add filter slopes, jitter and noise. Film exposure blur, which softens the wheel effect, is left out. It is an AI reading a text file: it can be wrong, so check what matters against your own records and the source.

What’s in the buy.

  • CARD.md — the whole card: who it is, its laws, when it says no, what it carries · SKILL.md — the door your AI reads first · START-HERE.md — the first five minutes, for you
  • THE-LAWS.md — the guide in references/, in the card's own voice
  • scripts/sampling.py — the machine: rate · alias · wheel · formats, standard library only, selftest 8/8
  • WITNESS.md + SELFTEST.md — every command on the record, as it printed · MANIFEST.md, every file hashed · AUDIT.md, the twelve checks
  • MY-LEDGER.md — the card's memory, on your own machine · TIN.md · LICENSE-NOTE.md · THE-CLAUSES.md · HOSTS.md
  • card.svg + card-machine.svg + card.json · card.html, the card as one offline file · the doors for ChatGPT, Gemini, Cursor, Claude Code and MCP hosts (rules/, system/, mcp/)

PROOF · SELFTEST 8/8 · 4 COMMANDS ON THE RECORD · WITNESSED IN CLAUDE 2026-10-11 · EDITION 1 · PUNCH 97D0E431643EAB23ABC59496

ON EVERY DOOR · A CARD FOR YOUR AI, A FILE FOR YOUR COMPUTER

In Claude: turn on code execution under Settings › Capabilities, then Customize › Skills › + › Create skill, and upload the zip as it is — START-HERE.md in the box walks you through it, and tells you how to keep the ledger. In ChatGPT, Gemini and the rest: a Project, a GPT or a Gem with the card’s files attached and the short door in the box pasted as its instructions. The words run anywhere an AI reads Markdown; the machines run wherever the host runs Python. Witnessed in Claude only. The host marks →

Take it.

Nº 1152 PROPOSED — LAUNCHING SOON

Sold as is under the term printed. A card instructs an AI you operate; results depend on your model, your files and your judgement. Not medical, legal, tax or financial advice, never the person’s boss, and not a licence to practise. The terms →

ONE PAYMENT · NOTHING RENEWS ITSELF

OFFLINE · ONE LICENCE · PUNCH-CHECKABLE · THE STANDARD

One payment. The file is yours to keep and keeps working at its edition; new editions issued in the year after you buy reach you by email as replacement files. Tax is added at checkout where it applies. Nothing auto-renews.

One email when it is on sale, from the studio; nothing else, ever.

A TERM, NOT A SUBSCRIPTION: NOTHING RENEWS ITSELF AND NOBODY IS CHARGED AGAIN. WHEN A TERM ENDS THE FILES STAY ON YOUR COMPUTER AND STAY READABLE — FREEZE, NOT LOSS.

THE MACHINE · IN THE OPEN · FROM THE WITNESSED RUN OF 2026-10-11

sampling.py, every command showing its working.

A small Python program, standard library only. Your AI runs it; you can too. Every block below is pasted from the card’s own WITNESS.md, as printed.

ratethe least rate and a practical one
aliaswhere a tone lands
wheelthe wheel on film
formatscommon rates
selftest8 checks that prove the machine; it must print 8/8
rate · THE LEAST RATE AND A PRACTICAL ONE
$ python3 scripts/sampling.py rate 20 kHz
a signal up to 20 kHz needs more than 40,000 samples a second; in practice about 44,000, leaving room for the filter that cuts what lies above
alias · WHERE A TONE LANDS
$ python3 scripts/sampling.py alias 25 44.1 kHz
25 kHz sampled at 44.1 kHz: folds down and poses as 19100 Hz · filter it out before sampling; after, it cannot be told apart
wheel · THE WHEEL ON FILM
$ python3 scripts/sampling.py wheel 23 1 24
a 1-spoke wheel turning 23 times a second, filmed at 24 frames: it seems to turn backward at 1 turn a second
wheel · THE WHEEL ON FILM
$ python3 scripts/sampling.py wheel 24 1 24
a 1-spoke wheel turning 24 times a second, filmed at 24 frames: it seems to stand still
formats · COMMON RATES
$ python3 scripts/sampling.py formats
telephone                 8000 samples/s · carries up to 4 kHz
wideband voice           16000 samples/s · carries up to 8 kHz
CD audio                 44100 samples/s · carries up to 22.05 kHz
film and video audio     48000 samples/s · carries up to 24 kHz
high-resolution audio    96000 samples/s · carries up to 48 kHz
studio                  192000 samples/s · carries up to 96 kHz
human hearing reaches about 20 kHz when young, less with age

THE NUMBERS, NAMES AND DATES IN THESE RUNS ARE THE STUDIO’S OWN EXAMPLES, INVENTED FOR THE RECORD; NO REAL COMPANY, PERSON OR PROPERTY IS NAMED.

QUESTIONS AT THE TABLE

Asked before the wire.

What does it need from me?

Rate <bandwidth> · the least rate. It asks first for a bandwidth; or a tone and a sampling rate; or a wheel's turns, spokes and the frame rate.

Does it send anything anywhere?

No. The machine is a standard-library Python program that runs on your own computer and sends nothing anywhere; the words run wherever an AI reads Markdown. No server, no account, no key.

What is on the record?

The self-test (8/8) and every command run on real example inputs, pasted into WITNESS.md as they printed; the punch on the face is the SHA-256 of SKILL.md, so a downloaded copy can be checked against this room.

Can it be wrong?

Yes — it is an AI reading a text file. Ideal, evenly spaced samples of a steady signal: real converters add filter slopes, jitter and noise. Film exposure blur, which softens the wheel effect, is left out.

What will it never do?

It will never sample at exactly twice and call it safe; never claim an alias can be removed afterward; never forget a wheel's spokes. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.

← THE LABORATORY · THE FLOOR →

AT YOUR ELBOW, NEVER THE BOSS · NOT LEGAL, MEDICAL, TAX OR FINANCIAL ADVICE · NOT A PAYMENT CARD · © 2026 LUND STUDIO LLC

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